Ultradifferentiable CR Manifolds

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Authors

FÜRDÖS Stefan

Year of publication 2020
Type Article in Periodical
Magazine / Source The Journal of Geometric Analysis
MU Faculty or unit

Faculty of Science

Citation
Web https://link.springer.com/article/10.1007/s12220-019-00191-6
Doi http://dx.doi.org/10.1007/s12220-019-00191-6
Keywords CR mappings; Infinitesimal CR automorphisms; Ultradifferentiable CR manifolds; Ultradifferentiable regularity
Description In this article, the notion of ultradifferentiable CR manifold is introduced and an ultradifferentiable regularity result for finitely nondegenerate CR mappings is proven. Here, ultradifferentiable means with respect to Denjoy–Carleman classes defined by weight sequences. Furthermore, the regularity of infinitesimal CR automorphisms on ultradifferentiable abstract CR manifolds is investigated.
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